Coefficient of x^ 11 in the expansion of (1 + x^2)^4(1 + x^3)^7(1 + x^4)^ 12 is

JEE Advanced 2014 Mathematics question

Coefficient of in the expansion of is

Answer: (C)

A term has coefficient ; we need , so b is odd. b = 1: : (a, c) = (4, 0), (2, 1), (0, 2), giving

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Question ID VK-026346